1.) Each assumption leads to different aspects of the battle to achieve higher arms. Assumption A wants to increase the level of arms to a proportion of the arms level of the other country. To do this, you want to take the rate of growth of the other country and multiply this by a proportional constant. The opposite country does the same due to them wanting to keep pace with their opposing foe. Assumption B wants to decrease its level of arms to go along with national spending issues. This is done in the same way respective to their specific needs. You must use a new proportional constant to go with the budgetary rate of depletion. Assumption C is a little different because in this assumption, you're not taking a rate of increase or decrease, you're simply adding or subtracting your level of arms to the country's desires.

Variables proporcionals

Coats of arms

Coat of arms of Serbia

These all lead to a First-OrderDifference equation because none of the rates are taken times themselves due to the country's reactions being don only one time. First-Order means nothing is squared, cubed, etc., and a difference equation adds or subtracts certain levels of need.

2.) DX(n) = b1 Y(n-1) - a1 X(n-1) + c DY(n) = b2 X(n-1) - a2 Y(n-1) + d Use these equations to represent the change in billions of dollars spent on national arms where 1ÃÂ£ n ÃÂ£10 and a1 a2 b1 b2 c d X(0) Y(0) a) .4 .4 0 0 .7 3.0 6.0 2.0 b) 1.0 1.0 .5 1.0 1.0 -1.0 20.0 10.0 4.) The graph of 4 will be similar to 2b with the only difference being that because d is positive, the slope between Y(1), Y(2), Y(3), Ã¢ÂÂ¦Y(n) will alternate just as X(1), X(2), Ã¢ÂÂ¦ X(n). The significance of c, d is that they will determine how far the two points (s.a. X(1)

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